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Finding the Fourth Proportional to 8,193.20, 12,294.12 and 4,912.88

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Solution

The fourth proportional to 8,193.20, 12,294.12 and 4,912.88 is: 7,371.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,193.20 : 12,294.12 = 4,912.88 : x
  2. Step 2: Convert to fraction form
    8,193.20/12,294.12 = 4,912.88/x
  3. Step 3: Cross multiply
    8,193.20x = 12,294.12 × 4,912.88
  4. Step 4: Simplify right side
    8,193.20x = 60,399,536.27
  5. Step 5: Solve for x
    x = 60,399,536.27/8,193.20
  6. Step 6: Final answer
    x = 7,371.91

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.